Printable · GCSE Foundation · ages 14-16
Translations as vectors worksheet — GCSE Foundation
Fifteen questions on "translations as vectors" — DfE statement G24. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Translations as vectors worksheet — GCSE Foundation
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- 1.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 2.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 3.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 4.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 5.Vector A is and vector B is . Write down how vector B compares to vector A.
- 6.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 7.A shape is translated by the vector . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
- 8.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 9.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 10.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 11.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 12.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 13.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 14.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 15.A crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
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